Year: 2025
Author: Anass Lamaizi, Abdellah Zerouali, Omar Chakrone, Belhadj Karim
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 782–793
Abstract
Our focus in this study revolves around investigating the following
parabolic problem
By using the Galerkin approximation and a family of potential wells, we obtain
the existence of global solution and finite time blow-up under some suitable
conditions. On the other hand, the results for asymptotic behavior of certain
solutions with positive initial energy are also given.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.782
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 3 : pp. 782–793
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Parabolic problem global existence blow-up asymptotic behavior.